Question 719614
Determine whether the lines through the given pairs of points are parallel. A (2, - 3), B (- 2, - 11) and C (1, 2), D (- 1, 6)
---------------
Find the slopes.  If, and only if, the slopes are equal, they're parallel.
---
For AB:  A (2,- 3), B (- 2,- 11)
slope m = diffy/diffx
m = -8/(-4) = 2
-------------------
Find the slope of CD, compare them.
===============
PS  Don't put a space after the comma in the points.
(1,2) not (1, 2)